Logo

The Contraction Mapping Principle and Some Applications

The Contraction Mapping Principle and Some Applications
by

Publisher: American Mathematical Society
Number of pages: 90

Description:
These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in the theories of differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric and iterated function systems.

Download or read it online for free here:
Download link
(690KB, PDF)

Similar books

Book cover: Examples of differential equations, with rules for their solutionExamples of differential equations, with rules for their solution
by - Boston, Ginn & Company
This work has been prepared to meet a want in a course on the subject, arranged for advanced students in Physics. It could be used in connection with lectures on the theory of Differential Equations and the derivation of the methods of solution.
(9133 views)
Book cover: Differential Equations and Linear AlgebraDifferential Equations and Linear Algebra
by - Heriot-Watt University
From the table of contents: Linear second order ODEs; Homogeneous linear ODEs; Non-homogeneous linear ODEs; Laplace transforms; Linear algebraic equations; Matrix Equations; Linear algebraic eigenvalue problems; Systems of differential equations.
(12377 views)
Book cover: A Friendly Introduction to Differential EquationsA Friendly Introduction to Differential Equations
by
The book covers: The Laplace Transform, Systems of Homogeneous Linear Differential Equations, First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, Applications of Differential Equations.
(11925 views)
Book cover: A Second Course in Elementary Ordinary Differential EquationsA Second Course in Elementary Ordinary Differential Equations
by - Arkansas Tech University
Calculus of Matrix-Valued Functions of a Real Variable; nth Order Linear Differential Equations; General Solution of nth Order Linear Homogeneous Equations; Fundamental Sets and Linear Independence; Higher Order Homogeneous Linear Equations; etc.
(12777 views)